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Finding the Third Proportional to 505,115 and 784,235

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Solution

The third proportional to 505,115 and 784,235 is: 1,217,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,115 : 784,235 = 784,235 : x
  2. Step 2: Convert to fraction form
    505,115/784,235 = 784,235/x
  3. Step 3: Cross multiply
    505,115x = 784,235 × 784,235
  4. Step 4: Simplify right side
    505,115x = 615,024,535,225
  5. Step 5: Solve for x
    x = 615,024,535,225/505,115
  6. Step 6: Final answer
    x = 1,217,593.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.